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Finding the Fourth Proportional to 6,450.68, 9,677.28 and 2,290.88

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Solution

The fourth proportional to 6,450.68, 9,677.28 and 2,290.88 is: 3,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.68 : 9,677.28 = 2,290.88 : x
  2. Step 2: Convert to fraction form
    6,450.68/9,677.28 = 2,290.88/x
  3. Step 3: Cross multiply
    6,450.68x = 9,677.28 × 2,290.88
  4. Step 4: Simplify right side
    6,450.68x = 22,169,487.21
  5. Step 5: Solve for x
    x = 22,169,487.21/6,450.68
  6. Step 6: Final answer
    x = 3,436.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.